Pith Number

pith:ZAFH6GQO

pith:2012:ZAFH6GQOAFTF2ARVUD524WD7MM

not attested not anchored not stored refs pending

The shape of the $(2+1)$D SOS surface above a wall

Allan Sly, Eyal Lubetzky, Fabio Lucio Toninelli, Fabio Martinelli, Pietro Caputo

arxiv:1207.3580 v1 · 2012-07-16 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAFH6GQOAFTF2ARVUD524WD7MM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:42:22.304881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c80a7f1a0e01665d0235a0fbae587f6308cd3dbb030aabf778bfeff740d98815

Aliases

arxiv: 1207.3580 · arxiv_version: 1207.3580v1 · doi: 10.48550/arxiv.1207.3580 · pith_short_12: ZAFH6GQOAFTF · pith_short_16: ZAFH6GQOAFTF2ARV · pith_short_8: ZAFH6GQO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZAFH6GQOAFTF2ARVUD524WD7MM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c80a7f1a0e01665d0235a0fbae587f6308cd3dbb030aabf778bfeff740d98815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac0d835125c92e930be46f649e12ffa4055fd50eae16ed68bfc76948b16f36f4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-16T05:28:10Z",
    "title_canon_sha256": "545f717bcb7c7b7d8648cb8c8414a11ae1a0c0e879e40e3c753e34ba110b8e25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3580",
    "kind": "arxiv",
    "version": 1
  }
}